Timeline for Topology of function spaces?
Current License: CC BY-SA 2.5
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2016 at 20:26 | answer | added | Peter Michor | timeline score: 5 | |
| Feb 7, 2011 at 20:07 | vote | accept | José Figueroa-O'Farrill | ||
| Feb 7, 2011 at 20:05 | vote | accept | José Figueroa-O'Farrill | ||
| Feb 7, 2011 at 20:06 | |||||
| Aug 11, 2010 at 21:57 | comment | added | José Figueroa-O'Farrill | Ryan, the applications I have in mind require $X$ and $Y$ to be riemannian manifolds. Otherwise you could not write down the action functional for harmonic maps (and the various generalisations I am actually interested in). Since I was so clueless about the possible ways to topologise the space of maps, I was simply trying to give as much information as possible in case that helped rule some topologies out. That's all I meant. | |
| Aug 11, 2010 at 18:25 | comment | added | Ryan Budney | Your last sentence is a little confusing -- why are you putting metrics on $X$ and $Y$? Smooth mapping spaces, without any other conditions on them, do not care about these metrics. | |
| Aug 11, 2010 at 9:25 | history | edited | José Figueroa-O'Farrill | CC BY-SA 2.5 |
added 595 characters in body
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| Aug 11, 2010 at 7:53 | answer | added | Andrew Stacey | timeline score: 10 | |
| Aug 11, 2010 at 1:28 | answer | added | Igor Belegradek | timeline score: 13 | |
| Aug 11, 2010 at 1:04 | answer | added | Ryan Budney | timeline score: 15 | |
| Aug 11, 2010 at 1:03 | comment | added | Harry Gindi | Alright: Here's a special case for smooth loop spaces that Andrew wrote up a few months ago. ncatlab.org/nlab/show/smooth+loop+space | |
| Aug 11, 2010 at 0:51 | history | asked | José Figueroa-O'Farrill | CC BY-SA 2.5 |